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Finding the Fourth Proportional to 211.39, 291.31 and 141.37

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Solution

The fourth proportional to 211.39, 291.31 and 141.37 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.39 : 291.31 = 141.37 : x
  2. Step 2: Convert to fraction form
    211.39/291.31 = 141.37/x
  3. Step 3: Cross multiply
    211.39x = 291.31 × 141.37
  4. Step 4: Simplify right side
    211.39x = 41,182.49
  5. Step 5: Solve for x
    x = 41,182.49/211.39
  6. Step 6: Final answer
    x = 194.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.